Constant Mean Curvature Surfaces Based on Fundamental Quadrilaterals

Media type: Text; E-Article
Title: Constant Mean Curvature Surfaces Based on Fundamental Quadrilaterals
Contributor: Bobenko, Alexander I. [Author]; Heller, Sebastian [Author]; Schmitt, Nick [Author]
Published: Dordrecht [u.a.] : Kluwer, 2021
Published in: Mathematical Physics, Analysis and Geometry 24 (2021), Nr. 4 ; Mathematical Physics, Analysis and Geometry
Issue: published Version
Language: English
DOI: https://doi.org/10.15488/14940; https://doi.org/10.1007/s11040-021-09397-z
ISSN: 1385-0172
Keywords: Flat connections ; DPW method ; CMC surface ; Tesselations
Origination:
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Description: We describe the construction of CMC surfaces with symmetries in S3 and ℝ3 using a CMC quadrilateral in a fundamental tetrahedron of a tessellation of the space. The fundamental piece is constructed by the generalized Weierstrass representation using a geometric flow on the space of potentials.
Access State: Open Access

Constant Mean Curvature Surfaces Based on Fundamental Quadrilaterals - [published Version]